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anonymous

  • one year ago

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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  3. anonymous
    • one year ago
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  4. anonymous
    • one year ago
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    I picked C am i correct?

  5. anonymous
    • one year ago
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    @Michele_Laino

  6. anonymous
    • one year ago
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    If not, what is the correct answer, and why? Thanks

  7. Michele_Laino
    • one year ago
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    we can simplify your function. For example, we can factor out 9 at numerator and 3 at denominator, so we can write this: \[\Large \frac{{9{x^2} + 9x - 18}}{{3x + 6}} = \frac{{9\left( {{x^2} + x - 2} \right)}}{{3\left( {x + 2} \right)}}\]

  8. anonymous
    • one year ago
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    okay i get it so far....

  9. Michele_Laino
    • one year ago
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    can you simplify that expression further?

  10. anonymous
    • one year ago
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    Need a bit of help

  11. Michele_Laino
    • one year ago
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    ok! try please

  12. anonymous
    • one year ago
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    kk doin it now...

  13. Michele_Laino
    • one year ago
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    we have to factorize the numerator

  14. anonymous
    • one year ago
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    9 (x-1) (x+2)

  15. Michele_Laino
    • one year ago
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    in order to do that, we have to find two numbers such that their sum is -1 and their product is -2

  16. Michele_Laino
    • one year ago
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    can you find them?

  17. anonymous
    • one year ago
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    9 (x-1) (x+2)

  18. Michele_Laino
    • one year ago
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    ok! sorry,then the simplified expression of our function is: \[\Large \begin{gathered} \frac{{9{x^2} + 9x - 18}}{{3x + 6}} = \frac{{9\left( {{x^2} + x - 2} \right)}}{{3\left( {x + 2} \right)}} = \hfill \\ \hfill \\ = \frac{{9\left( {x + 2} \right)\left( {x - 1} \right)}}{{3\left( {x + 2} \right)}} = 3\left( {x - 1} \right) \hfill \\ \end{gathered} \]

  19. anonymous
    • one year ago
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    k

  20. Michele_Laino
    • one year ago
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    namely we have to search for the graph of the function: y= 3x-3

  21. anonymous
    • one year ago
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    so the slope is 3 right?

  22. Michele_Laino
    • one year ago
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    correct!

  23. anonymous
    • one year ago
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    and the y intercept is -3?

  24. Michele_Laino
    • one year ago
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    right!

  25. anonymous
    • one year ago
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    so its D?

  26. Michele_Laino
    • one year ago
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    if I set y=0, then I get x=1, so our line has to pass at point (1,0)

  27. anonymous
    • one year ago
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    SO its D

  28. Michele_Laino
    • one year ago
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    furthermore if I set x=2 then I get y=3, so correct!! :)

  29. anonymous
    • one year ago
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    kk thanks can u help me with a couple more?

  30. Michele_Laino
    • one year ago
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    I'm very sorry I have to go to sleep now, since it is 00:20 (Italy time zone) from me

  31. anonymous
    • one year ago
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    ah okay well then goodnight from the United States!

  32. Michele_Laino
    • one year ago
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    thanks!! from Italy :)

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